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SUMMARY:Evita Nestoridi (Princeton)
DTSTART:20220321T190000Z
DTEND:20220321T200000Z
DTSTAMP:20260423T021337Z
UID:paw/47
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/paw/47/">Lim
 it Profiles of Reversible Markov chains</a>\nby Evita Nestoridi (Princeton
 ) as part of Probability and Analysis Webinar\n\n\nAbstract\nIt all began 
 with card shuffling. Diaconis and Shahshahani studied the random transposi
 tions shuffle\; pick two cards uniformly at random and swap them. They int
 roduced a Fourier analysis technique to prove that it takes $1/2 n \\log n
 $ steps to shuffle a deck of $n$ cards this way. Recently\, Teyssier exten
 ded this technique to study the exact shape of the total variation distanc
 e of the transition matrix at the cutoff time from the stationary measure\
 , giving rise to the notion of a limit profile. In this talk\, I am planni
 ng to discuss a joint work with Olesker-Taylor\,  which extends the above 
 technique from conjugacy invariant random walks to general\, reversible Ma
 rkov chains. I will also present a new technique that allows to study the 
 limit profile of star transpositions\, which turns out to have the same li
 mit profile as random transpositions.\n
LOCATION:https://researchseminars.org/talk/paw/47/
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